Percy John Daniell

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Daniell at the ICM 1932, Zürich

Percy John Daniell (9 January 1889 – 25 May 1946) was a pure and

applied mathematician
.

Early life and education

Daniell was born in

theoretical physicist
.

Mathematical career

For a year he lectured at the University of Liverpool and then he was appointed to the new Rice Institute in Houston, Texas. The Rice Institute had him spend a year at the University of Göttingen studying with Max Born and David Hilbert. Daniell was at Rice from 1914 to 1923 when he returned to England to a chair at the University of Sheffield.

In a series of papers published between 1918 and 1928, he developed and expanded a generalized theory of integration and differentiation, which is today known as the Daniell integral. In the setting of integration, he also worked on results that lead to the Daniell-Kolmogorov extension theorem in the theory of stochastic processes, independently of Andrey Kolmogorov.[1] He was an Invited Speaker of the ICM in 1920 at Strasbourg.[2]

Death

During World War II Daniell advised the British Ministry of Supply. The strain of work during the war took a heavy toll on his health. He died on 25 May 1946, after having collapsed at his home a few weeks earlier.

External links

Aldrich, J. (2007) "But you have to remember P.J.Daniell of Sheffield" Electronic Journ@l for History of Probability and Statistics December 2007.

References

  1. ^ J. Aldrich, But you have to remember PJ Daniell of Sheffield, Electronic Journal for History of Probability and Statistics, Vol. 3, number 2, 2007
  2. ^ "Stieltjes-Volterra Products by P. J. Daniell" (PDF). Compte rendu du Congrès international des mathématiciens tenu à Strasbourg du 22 au 30 Septembre 1920. 1921. pp. 130–136.
  • Stewart, C.A. (1947), "P. J. Daniell", J. London Math. Soc. s1-22: 75–80.
  • Daniell, Percy John (1918), "A general form of integral", Annals of Mathematics 19: 279–94.
  • –––––– (1919a), "Integrals in an infinite number of dimensions", Annals of Mathematics 20: 281–88.
  • –––––– (1919b), "Functions of limited variation in an infinite number of dimensions", Annals of Mathematics 21: 30–38.
  • –––––– (1920), "Further properties of the general integral", Annals of Mathematics 21: 203–20.
  • –––––– (1921), "Integral products and probability", American Journal of Mathematics 43: 143–62.
  • –––––– (1946), "Discussion on the Symposium on Autocorrelation in Time Series", Supplement to the Journal of the Royal Statistical Society 8-1: 88–90.
  • Shilov, G. E., and Gurevich, B. L. (1978), Integral, Measure, and Derivative: A Unified Approach, Richard A. Silverman, trans., Dover Publications.